42 citations · 46 across the 9 of their papers we have counts for
9 papers
Online TT-ALS for Streaming Tensor Decomposition with Incremental Orthogonalization
Hiroki Takeda, Yuto Miyatake, Daisuke Furihata
Tensor Train (TT) decomposition is a powerful technique for analyzing high-dimensional data. Existing algorithms for computing TT decompositions can be categorized into two main ty…
Accelerating SAV-based optimization via randomized low-rank Hessian approximation
Ryo Sagawa, Daisuke Furihata, Yuto Miyatake
We propose a new optimization method, the Nyström-enhanced relaxed scalar auxiliary variable method (N-RSAV), which incorporates curvature information into the RSAV framework to ac…
A modified model for topic detection from a corpus and a new metric evaluating the understandability of topics
Tomoya Kitano, Yuto Miyatake, Daisuke Furihata
This paper presents a modified neural model for topic detection from a corpus and proposes a new metric to evaluate the detected topics. The new model builds upon the embedded topi…
Composing a surrogate observation operator for sequential data assimilation
Kosuke Akita, Yuto Miyatake, Daisuke Furihata
In data assimilation, state estimation is not straightforward when the observation operator is unknown. This study proposes a method for composing a surrogate operator when the tru…
A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition
Makoto Okumura, Takeshi Fukao, Daisuke Furihata +1
We propose a structure-preserving finite difference scheme for the Cahn-Hilliard equation with a dynamic boundary condition using the discrete variational derivative method (DVDM).…
Strong convergence of a fully discrete finite element approximation of the stochastic Cahn-Hilliard equation
Daisuke Furihata, Mihály Kovács, Stig Larsson +1
We consider the stochastic Cahn-Hilliard equation driven by additive Gaussian noise in a convex domain with polygonal boundary in dimension . We discretize the equation usi…
Geometric numerical integrators for Hunter-Saxton-like equations
Yuto Miyatake, David Cohen, Daisuke Furihata +1
We present novel geometric numerical integrators for Hunter--Saxton-like equations by means of new multi-symplectic formulations and known Hamiltonian structures of the problems. W…
A novel discrete variational derivative method using "average-difference methods"
Daisuke Furihata, Shun Sato, Takayasu Matsuo
We consider structure-preserving methods for conservative systems, which rigorously replicate the conservation property yielding better numerical solutions. There, corresponding to…
Pathwise existence of solutions to the Implicit Euler method for the stochastic Cahn-Hilliard Equation
Daisuke Furihata, Fredrik Lindgren, Shuji Yoshikawa
We consider the implicit Euler approximation of the stochastic Cahn-Hilliard equation driven by additive Gaussian noise in a spatial domain with smooth boundary in dimension $d\le…